Methods of Applied Mathematics with a MATLAB Overview / Edition 1

Methods of Applied Mathematics with a MATLAB Overview / Edition 1

by Jon H. Davis
     
 

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ISBN-10: 1461264863

ISBN-13: 9781461264866

Pub. Date: 04/30/2013

Publisher: Birkhauser Verlag

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along

Overview

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Product Details

ISBN-13:
9781461264866
Publisher:
Birkhauser Verlag
Publication date:
04/30/2013
Series:
Applied and Numerical Harmonic Analysis Series
Edition description:
Softcover reprint of the original 1st ed. 2004
Pages:
721
Product dimensions:
6.14(w) x 9.21(h) x 1.47(d)

Table of Contents

Preface.- Introduction.- Fourier Series.- Elementary Boundary Value Problems.- Sturm-Liouville Theory and Boundary Value Problems.- Functions of a Complex Variable.- Laplace Transforms.- Fourier Transforms.- Discrete Variable Transforms.- Additional Topics.- Linear Algebra Overview.- Software Resources.- Transform Tables.- Index.

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